write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, giver
slope form is y+1 = (x-8)

Step-by-step explanation:

The formula of a slope:

We have the points (8, -1) and (2, -5). Substitute:

The point-slope form of an equation of a line:

Substitute:

→ the point-slope form

Convert to the standard form:

       multiply both sides by 3

        use the distributive property a(b+c) = ab+ ac

     subtract 3 from both sides

      subreact 2x from both sides

      change the signs

→ the standard form

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.